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Determine the Measure of an Angle in Radians

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Brian McLogan

Learn how to sketch angles in terms of pi. An angle is the figure formed by two rays sharing the same endpoint. Angle is measured in radians or in degrees. One complete revolution about a point is equivalent to 2pi radians and 360 degrees. The angle measured in the anticlockwise direction is called a positive angle while a negative angle is measured in the clockwise direction. We measure angles starting from the positive xaxis.

To sketch an angle in terms of pi, we make use of the knowledge that the angle made by a circle is 2pi and that made by a straight line is pi. So, we first sketch a circle which we will divide into two. Next, we divide each half of the circle into the number of parts corresponding to the denominator of the angle we want to sketch. The number of parts corresponding to the numerator of the angle we are sketching from the 0 radians point is the angle we are looking for.

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Organized Videos:
✅ Angles in Trigonometry
   • Angles in Trigonometry  
✅ Solve Problems with Arc Length
   • Solve Problems with Arc Length  
✅ Angles in Trigonometry | Learn about
   • Angles in Trigonometry | Learn about  
✅ Sketch Angles in Standard Position
   • Sketch Angles in Standard Position  
✅ Find the Quadrant of the Angle
   • Find the Quadrant of the Angle  
✅ Find the Reference Angle
   • Find the Reference Angle  
✅ Complement and Supplement of an Angle
   • Complement and Supplement of an Angle  
✅ Convert Radians to Degrees
   • Convert Radians to Degrees  
✅ Convert Degrees to Radians
   • Convert Degrees to Radians  
✅ Convert Degrees to Degree Minute Seconds
   • Convert Degrees to Degree Minute Seconds  
✅ Convert Degree Minute Seconds to Degrees
   • Convert Degree Minute Seconds to Degrees  
✅ Coterminal Angles | Learn About
   • Coterminal Angles | Learn About  
✅ Find Coterminal Angles | 0 and 2pi
   • Find Coterminal Angles | 0 and 2pi  
✅ Find Coterminal Angles | 0 and 360
   • Find Coterminal Angles | 0 and 360  

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‍‍‍ About Me: I make short, tothepoint online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/aboutme/

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